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Finding the Fourth Proportional to 278.46, 384.18 and 195.66

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Solution

The fourth proportional to 278.46, 384.18 and 195.66 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 384.18 = 195.66 : x
  2. Step 2: Convert to fraction form
    278.46/384.18 = 195.66/x
  3. Step 3: Cross multiply
    278.46x = 384.18 × 195.66
  4. Step 4: Simplify right side
    278.46x = 75,168.66
  5. Step 5: Solve for x
    x = 75,168.66/278.46
  6. Step 6: Final answer
    x = 269.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.